SOLUTION: My problem is I don't know how to read the answer given in a Quadratic graph example, Where the curve cuts the x axis, the answer was about 4.37, -1.37, or Where the curve and li

Question 629142: My problem is I don't know how to read the answer given in a Quadratic graph example, Where the curve cuts the x axis, the answer was about 4.37, -1.37,
or Where the curve and line cross read the x value about 5.54 and -0.54.
Ok I can understand an example that shows where a parabola cuts the x axis at 2 points say 3 and -3, I just don't understand where the 2 extra numbers are coming from in something like 5.54 and -0.54? I would be guessing thinking say 5.54 I would first go to 5.5 on the x axis? I'm guessing its read 5.5 being halfway between 5 and 6, but where does the 4 come from? or in the first examples where does the 7 come from?
Thanks
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi, 

Might recommemnd downloading the FREE graph software at http://www.padowan.dk.com to check your work

y= x^2-3x-6 and y= 2x-3

(Yes on the x-intercepts for the Parabloa) PLOT points (4.37,0) and (-1.37,0)

     || when the line and parabola intersect!

  x^2 -5x - 3= 0



Yes,   x = 5.54  or x = -.54  and y = 8.08  or y = -4.08

line and parabola intersect at (5.54,8.08)  and (-.54,-4.08)

idea is for the second set were the x-values of the intersection:

y-values found by substituting x's into y = 2x-3

   and 

you have the Plotting idea correctly...do: over 5.54 up 8.08 PLOT Point

  and back .54 and down -4.08 PLOT Point



 

RELATED QUESTIONS

How do we find the domain, range and intercepts of any given graph?

For example, find... (answered by ikleyn)
"A parabola has been drawn on a graph but there is information missing. The equation has... (answered by josgarithmetic)
How to sketch this graph f(x)=3x+2 and g(x)=-5x+2, they are in the same x axis,where to... (answered by Alan3354,josgarithmetic)
i need help and a couple of things explained better if possible

this is what my... (answered by richwmiller)
What would be the solution for x in the rational equation:

x^2/(x-3) = (x+2)/(2x-5)

 (answered by josgarithmetic)
Y=sin(2x+phi/3)
Find 
The x-coordinate of the point A where the curve cuts the x... (answered by Cromlix,ikleyn)
The graph of the function f(x)=1/x is shown below.  Find the equation and graph the... (answered by Earlsdon)
How do Curves A and B compare to each other with respect to f and f ′?

Graph A... (answered by dennisrizelleruiz)
I don�t understand how to divide with negative exponents. Example:
m^8 / m^-4
my... (answered by Theo)